in the sentence

My favourite part of the week

my is a determiner;
favourite is a modifier;
part is a noun;
of the is a post determiner;
week is a noun;

Is that correct?

I don't think of the is a post determiner. In standard grammar, of is a preposition.

Please check your definition and examples of post determiners.

You may find this site useful.

http://www.ucl.ac.uk/internet-grammar/frames/consult.htm

posesessive and adjectue

Yes, your analysis is correct!

To determine the parts of speech in the sentence "My favourite part of the week," you can follow these steps:

1. Identify the determiner: In this case, "my" is a determiner. Determiners are words that provide information about the noun, such as possession, quantity, or specificity. In this sentence, "my" indicates possession, as it shows that the favorite part belongs to the speaker.

2. Identify the modifier: "Favourite" is a modifier. Modifiers are words that describe or provide additional information about the noun. In this sentence, "favourite" describes the specific type of part that the speaker likes the most.

3. Identify the noun: The word "part" is indeed a noun. Nouns are words that represent a person, place, thing, or idea. In this sentence, "part" refers to a particular segment or component of something.

4. Identify the post-determiner: "Of the" acts as a post-determiner in this sentence. Post-determiners are words that come after determiners and provide further specification or limitation. In this case, "of the" specifies which specific week the speaker is referring to.

5. Identify the noun: "Week" is also a noun. It represents a period of seven days.

By breaking down the sentence and analyzing each word, you can identify the different parts of speech and understand how they function within the sentence.